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Finding the Third Proportional to 117,569 and 168,057

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Solution

The third proportional to 117,569 and 168,057 is: 240,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,569 : 168,057 = 168,057 : x
  2. Step 2: Convert to fraction form
    117,569/168,057 = 168,057/x
  3. Step 3: Cross multiply
    117,569x = 168,057 × 168,057
  4. Step 4: Simplify right side
    117,569x = 28,243,155,249
  5. Step 5: Solve for x
    x = 28,243,155,249/117,569
  6. Step 6: Final answer
    x = 240,226.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.